Category Archives: abc Conjecture

A Report From Mochizuki

Posted on March 25, 2024 by woit

I don’t really have time to write seriously about this, and there’s a very good argument that this is a topic anyone with any sense should be ignoring, but I just can’t resist linking to the latest in the abc … Continue reading →

Posted in abc Conjecture | 48 Comments

Various and Sundry

Posted on August 24, 2023 by woit

The math department at Columbia this fall will be hosting three special lecture series, each with some connection to physics (at least in my mind…): Sergiu Klainerman will be lecturing on the proof of nonlinear stability for slowly rotating black … Continue reading →

Posted in abc Conjecture, Uncategorized | 13 Comments

Million Dollar Prize for Scholze and Stix

Posted on July 7, 2023 by woit

At a news conference in Tokyo today there evidently were various announcements made about IUT, the most dramatic of which was a 140 million yen (roughly one million dollar) prize for a paper showing a flaw in the claimed proof … Continue reading →

Posted in abc Conjecture | 40 Comments

Zen University

Posted on June 6, 2023 by woit

The establishment of a new university in Japan has been announced, to be called ZEN University. One component of the new university will be the Inter Universal Geometry Center, with Fumiharu Kato as director, Ivan Fesenko as deputy director. The … Continue reading →

Posted in abc Conjecture | 17 Comments

Various and Sundry

Posted on April 18, 2022 by woit

Last week a review of the Mochizuki IUT papers appeared at Math Reviews, written by Mohamed Saïdi. His discussion of the critical part of the proof is limited to: Theorem 3.11 in Part III is somehow reinterpreted in Corollary 3.12 … Continue reading →

Posted in abc Conjecture, Uncategorized | 24 Comments

ABC on NHK

Posted on April 9, 2022 by woit

There will be a documentary broadcast tomorrow in Japan on Mochizuki’s claimed proof of the abc conjecture. I was interviewed for this by the filmmakers last year, but don’t know anything about whether and how that footage will be used. … Continue reading →

Posted in abc Conjecture | 16 Comments

Back

Posted on November 26, 2021 by woit

I haven’t been posting here for a while, partly due to a lot of traveling, partly due to some personal time-consuming commitments, and largely due to a lack of much in the way of news that seemed worth much attention. … Continue reading →

Posted in abc Conjecture, Uncategorized | 11 Comments

Some Math Items

Posted on July 30, 2021 by woit

Some math items that may be of interest: Zentralblatt Math has a review of Mochizuki’s IUT papers, by Peter Scholze. Scholze explains the problem with the proof claimed in these papers. For more details, see his manuscript with Stix, or … Continue reading →

Posted in abc Conjecture, Uncategorized | 8 Comments

ABC is Still a Conjecture

Posted on March 4, 2021 by woit

Just a reminder that the abc conjecture is still a conjecture, there is no known valid proof (don’t believe what you might read in an EMS journal). For more about why one attempted proof doesn’t work, see here and here. … Continue reading →

Posted in abc Conjecture | 78 Comments

Why the Szpiro Conjecture is Still a Conjecture

Posted on April 18, 2020 by woit

There has been a remarkable discussion going on for the past couple weeks in the comment section of this blog posting, which gives a very clear picture of the problems with Mochizuki’s claimed proof of the Szpiro conjecture. These problems … Continue reading →

Posted in abc Conjecture | 39 Comments